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Law of Exponents
Pythagorean Theorem
Equations
Potpourri
100
Write with only one variable. (x^2)(x^3)
What is x^5
100
a = 7, b = 5, find c.
What is approximately 8.60
100
Solve for a 6a + 5a = -11
What is =1
100
Taylor rolled a dice to try to determine who goes first, what is the probability that she rolls a 5?
What is 1/6 or approximately 17 percent.
200
Write with only one variable. (a^-3)(a^4)
What is a^1 = a
200
a = 6, and c = 10, find b
What is 8
200
Solve for r r + 11 + 9r = 31
What is 2
200
Jerry is 6 feet tall and cast a shadow of 3 feet. The building he is closest to is 12 feet tall, how long is the shadow cast by the building?
What is 6 foot shadow cast by the building
300
Simplify, write answer with positive exponents. (b^-10)(b^-8)
What is 1/b^18
300
a = 10 and b = 12, find c.
What is approximately 15.62
300
18 = 3(3x - 6)
What is 4
300
Find the slope and x and y intercept of the following. 6x + 3y = 12
Slope is -2; x-intercept is 2; y-intercept is 4
400
Simplify and get to one variable. (8m^-5)(5m^8)
What is 40m^3
400
A baseball “diamond” is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner “out”? Given this information, explain why runners more often try to steal second base than third.
What is approximately 127 feet. And 127 feet is a farther throw to make than the 90 feet to third base.
400
30 = -5(6n + 6)
What is -2
400
You and your friend go out to dinner. The bill for your dinner was $54.65. The service was great so you decide you want to tip 20%. How much total money will you have spent then on dinner after the tip? Round to the nearest penny.
What is $67.85
500
Simplify and get one variable. (9c)(7c^8)
What is 63c^9
500
Nick rides his bike 9 km south, and then 12 km east. How far is he from his starting point?
What is 15 km from his starting point
500
-2 = -(n - 8)
What is 10
500
Use mathematical reasoning to determine which of these has a value closest to 1 whole. 28/30 0.909 1.111 pi/3 102.2%
What is 102.2%